Investigation into Rheological Behavior of Warm-Mix Recycled Asphalt Binders with High Percentages of RAP Binder

The rheological properties of warm-mix recycled asphalt binders are critical to enhancing design quality and interpreting the performance mechanisms of the corresponding mixtures. This study investigated the rheological behavior of warm-mix recycled asphalt binders with high percentages of RAP binder. The effects of two warm-mix additives [wax-based Sasobit (S) and surfactant-based Evotherm-M1 (E)], a rejuvenating aging [ZGSB (Z)], four RAP binder contents (0%, 30%, 50% and 70%), and three aging states (unaged, short-term aged and long-term aged) were evaluated in detail using the dynamic shear rheometer (DSR), bending beam rheometer (BBR) and Brookfield rotational viscometer tests as well as conventional performance tests over the whole range of temperatures. The results showed that the rejuvenating agent Z effectively alleviated the aging effect of the RAP binder; however, it could hardly eliminate entirely this negative impact, especially at higher RAP binder contents. The addition of S remarkably lowered the apparent viscosity of the warm-mix recycled binders by up to 35.0%, whereas E had little influence on the binder viscosity due to its surfactant nature. Besides, S performed much better in improving rutting resistance (with the increase of up to 411.3% in |G*|/sinδ) than E, while E exhibited superior fatigue performance (with the reduction of up to 42.3% in |G*|·sinδ) to that of S. In terms of the thermal cracking resistance, E had very slight influence and S even yielded an adverse impact (with the increase of up to 70.2% in Sa and the decrease of up to 34.1% in m-value). Further, S broadened the ranges of pavement service temperatures by about 12 °C, whereas E almost did not change the PG grades of the binders. Finally, regarding the characteristics of viscoelastic master curves, S considerably improved the dynamic modulus and lowered the phase angle of the binders over a wide range of frequencies and temperatures but led to the failure of the time-temperature superposition principle due to its thermorheologically complex nature. Nevertheless, in this regard, the effect of E was found very mild.


Introduction
The reuse of reclaimed asphalt pavement (RAP) in new asphalt mixtures is becoming increasingly prevalent in the asphalt paving industry [1][2][3]. RAP milled up or ripped off from old worn-out pavements contains valuable crushed aggregates and aged/stiff binder, and its recycling can conserve natural resources and save money, thus contributing to significant environmental and economic benefits. The aging of asphalt binder occurs owing to the loss of volatiles and oxidation during the whole process of production, construction, and service of asphalt mixture. The aged binder in RAP becomes significantly stiffer and, therefore, can furnish more desirable rutting resistance for the recycled asphalt mixture. Nevertheless, high RAP contents may cause a few typical problems, e.g., inferior fatigue Given that laboratory-aged asphalts always display relatively more reproducible and stable rheological behaviors, an artificial RAP binder was produced as an alternative to the actual RAP binder for the purpose of this study, which was fabricated by subjecting the #90 asphalt to successive rolling thin-film oven (RTFO) aging [22] and pressurized aging vessel (PAV) aging [23]. The short-term RTFO aging was performed at 163 • C for 85 min, and the long-term PAV aging was performed at 100 • C. To ensure similar performance and aging degree of the artificial RAP binder to the actual one, three different exposure durations in the PAV, 10, 15, and 20 h, were applied, and accordingly, the artificial RAP binders were denoted as PAV-10, PAV-15, and PAV-20, respectively. In this study, four RAP binder percentages, 0%, 30%, 50%, and 70%, were adopted to analyze the effect of high RAP binder contents.
To investigate the influence of WMA additives, two different WMA additives, Sasobit and Evotherm-M1, were employed. Sasobit is a white organic synthetic hard wax produced from coal gasification through the Fischer-Tropsch (FT) method, which can reduce the binder viscosity and thus decrease the production and placement temperatures. Sasobit is described as an "asphalt flow improver", and its use enables production temperatures to be reduced by 20~30 • C [24]. Evotherm-M1 is an amber chemical liquid surfactant that can enhance the coating of asphalt binder to aggregates and thus improve the workability of asphalt concrete. The Evotherm-M1 belongs to the Evotherm 3G product, which is a water-free warm-mix technology [14]. The dosages of 3% and 0.5% by weight of the total binder were used for Sasobit and Evotherm-M1, respectively, according to the suppliers' recommendations. Figure 1 shows the images of the two WMA additives.
Besides, a rejuvenating agent ZGSB (Figure 1), was used to restore the performance of the RAP binder. Table 2 presents the basic properties of ZGSB. To determine the optimal content of ZGSB, four dosages, 2%, 4%, 6%, and 8% by weight of the RAP binder, were taken into account. Table 2. Basic properties of the rejuvenating agent ZGSB.

Saturates Fraction (%)
Aromatics Fraction (%) Viscosity by Vacuum Capillary Viscometer at 60 • C (mm 2  Besides, a rejuvenating agent ZGSB (Figure 1), was used to restore the performanc of the RAP binder. Table 2 presents the basic properties of ZGSB. To determine the opti mal content of ZGSB, four dosages, 2%, 4%, 6%, and 8% by weight of the RAP binder were taken into account. For brevity, the two WMA additives, Sasobit and Evotherm-M1, and the rejuvenating agent, ZGSB, are respectively designated as S, E, and Z in the following analysis. Thus, thre categories of recycled binders are involved, in which the Z binders represent those contain ing only the rejuvenator ZGSB, the S + Z binders represent those containing both Sasobi and ZGSB and the E + Z binders represent those containing both Evotherm-M1 and ZGSB.

Conventional Performance Tests
According to the standard test methods of China JTG E20-2011 [25], three conven tional performance tests, i.e., the penetration, softening point, and ductility tests, wer conducted to evaluate the basic performance of the binders.

Apparent Viscosity Test by Brookfield Rotational Viscometer
The apparent viscosity was measured at four temperatures, 115, 135, 155, and 175 °C in accordance with ASTM D4402 [26] using a Brookfield rotational viscometer. The apparen viscosity can well reflect the workability of the binders during production and construction

High-and Intermediate-Temperature Performance Test
The high-and intermediate-temperature performance of asphalt binders can be char acterized using a DSR (Lab + , Malvern) according to ASTM D7175 [27]. In this method, th dynamic shear modulus |G*| and phase angle δ at the loading frequency of 10 rad/s ar obtained.
Further, the high-temperature rutting performance can be assessed using the rutting parameter |G*|/sinδ, which is derived from the dissipated energy density per oscillatory loading cycle Wd at a constant stress amplitude τa: In the rutting performance testing, the binders under both the unaged original state For brevity, the two WMA additives, Sasobit and Evotherm-M1, and the rejuvenating agent, ZGSB, are respectively designated as S, E, and Z in the following analysis. Thus, three categories of recycled binders are involved, in which the Z binders represent those containing only the rejuvenator ZGSB, the S + Z binders represent those containing both Sasobit and ZGSB and the E + Z binders represent those containing both Evotherm-M1 and ZGSB.

Conventional Performance Tests
According to the standard test methods of China JTG E20-2011 [25], three conventional performance tests, i.e., the penetration, softening point, and ductility tests, were conducted to evaluate the basic performance of the binders.

Apparent Viscosity Test by Brookfield Rotational Viscometer
The apparent viscosity was measured at four temperatures, 115, 135, 155, and 175 • C, in accordance with ASTM D4402 [26] using a Brookfield rotational viscometer. The apparent viscosity can well reflect the workability of the binders during production and construction.

High-and Intermediate-Temperature Performance Test
The high-and intermediate-temperature performance of asphalt binders can be characterized using a DSR (Lab + , Malvern) according to ASTM D7175 [27]. In this method, the dynamic shear modulus |G*| and phase angle δ at the loading frequency of 10 rad/s are obtained.
Further, the high-temperature rutting performance can be assessed using the rutting parameter |G*|/sinδ, which is derived from the dissipated energy density per oscillatory loading cycle W d at a constant stress amplitude τ a : In the rutting performance testing, the binders under both the unaged original state and the short-term RTFO aged state are required.
Similarly, the intermediate-temperature fatigue performance can be evaluated using the fatigue parameter |G*|·sinδ, which is calculated from the dissipated energy density per oscillatory loading cycle W d at a constant strain amplitude γ a : In the fatigue performance testing, the binder subjected to successive short-term RTFO aging and long-term PAV aging is required.
Two types of plates were adopted in testing. The 8-mm plates with a gap of 2 mm were used at intermediate temperatures for evaluating the fatigue performance, while the 25-mm plates with a gap of 1 mm were employed at high temperatures for evaluating the rutting performance.

Low-Temperature Performance Test
The thermal cracking resistance of asphalt binders at low temperatures can be assessed using a BBR (Cannon Instrument) in accordance with ASTM D6648 [28]. In this method, the flexural-creep stiffness S a (t), creep compliance D a (t) = 1/S a (t) and m-value of asphalt binder are determined through a creep process. The fixed contact load P around 980 mN is applied to the mid-point of the prismatic test specimen for 240 s, and the mid-span deflection ξ(t) was monitored at an interval of 0.5 s. The flexural-creep stiffness S a (t) and compliance D a (t) can be calculated by the following: where l is the span length between the two supports; h is the thickness of the prismatic specimen; b is the width of the prismatic specimen; t is the loading time. Moreover, the m-value can be determined using the slope of the stiffness versus the time on the log-log scale. In the low-temperature performance testing, the binder undergoing both RTFO and PAV aging is required. In this study, the temperatures of −12, −18, and −24 • C were used for testing.

Frequency Sweep Test
To further evaluate the linear viscoelastic behavior over a wide range of frequencies and temperatures, the frequency sweep test was performed on the binders utilizing the DSR. The tests were carried out in a strain-controlled mode. At intermediate temperatures, the 8-mm plates with a gap of 2 mm were applied, and the angular strain amplitudes were set to 0.5%, while at high temperatures, the 25-mm plates with a gap of 1 mm were applied, and the angular strain amplitudes were set to 1%. The testing was conducted at −2, 4, 16, 28, 40, 52, and 64 • C, and at each temperature, the complex modulus G* was measured at the frequencies of 0.1~100 rad/s as follows [29]: where i = √ −1 is the imaginary unit; G is the storage modulus; G" is the loss modulus. With the measurements of G* obtained at different temperatures and frequencies, the corresponding master curves can be constructed following the time-temperature superposition principle. The time-temperature shift factor (α T ) is represented on the frequency domain by the following [30]: where ω is the angular frequency; ω r is the reduced angular frequency. The master curves of G* for asphalt binders can be modeled by the 2S2P1D model [31]. The 2S2P1D model is a complex-valued model consisting of two spring elements, two parabolic elements, and a dashpot element; thus, it can analytically represent the dynamic modulus and phase angle components as well as the storage modulus and loss modulus components. Besides, its continuous relaxation and retardation spectra can also be analytically derived [32]. The 2S2P1D model has the following form: where G e is the equilibrium modulus; G g is the instantaneous modulus; α, k, h, β, and τ 0 are the model parameters. Following a common practice, G e and G g were set to 0 Pa and 10 9 Pa in this study.
In the development of the master curves, the parameters of the 2S2P1D model and the time-temperature shift factors can be calculated simultaneously. The target error function to minimize, f, is given by the following: where N is the number of the data points; the subscripts mea and cal refer to measured and calculated values, respectively. Figure 2 shows the experimental procedure of this study. First, an artificial RAP binder was fabricated as an alternative to the actual RAP binder. Then, the rejuvenating agent content was determined to generate the recycled binders with different RAP binder contents. Further, the two WMA additives were added to produce the warm-mix recycled binders. Finally, a variety of rheological tests were carried out to analyze the rheological behavior and determine the continuous grading temperatures and PG grades of the binders.

Experimental Procedure
where Ge is the equilibrium modulus; Gg is the instantaneous modulus; α, k, h, β are the model parameters. Following a common practice, Ge and Gg were set to 0 10 9 Pa in this study.
In the development of the master curves, the parameters of the 2S2P1D mo the time-temperature shift factors can be calculated simultaneously. The target err tion to minimize, f, is given by the following: where N is the number of the data points; the subscripts mea and cal refer to m and calculated values, respectively. Figure 2 shows the experimental procedure of this study. First, an artificial RA was fabricated as an alternative to the actual RAP binder. Then, the rejuvenating ag tent was determined to generate the recycled binders with different RAP binder c Further, the two WMA additives were added to produce the warm-mix recycled Finally, a variety of rheological tests were carried out to analyze the rheological b and determine the continuous grading temperatures and PG grades of the binders.

Determination of PAV Aging Time for Artificial RAP Binder
As mentioned above, three PAV exposure times, 10, 15, and 20 h, were applied to manufacturing the artificial RAP binder to achieve a similar performance and aging degree to those of the actual one. Figure 3 presents the basic properties of the artificial RAP binders aged at different PAV exposure times. As can be seen, the penetration and ductility (15 • C) reduced, and the softening point and apparent viscosity rose with the increasing exposure time, indicating that the artificial RAP binder became increasingly stiffer. The artificial RAP binder aged for 10 h, PAV-10, exhibited very similar basic properties to those of the actual RAP binder; thus, the RAP-10 binder was used as an alternative to the actual RAP binder in this study.
As mentioned above, three PAV exposure times, 10, 15, and 20 h, were applied to m ufacturing the artificial RAP binder to achieve a similar performance and aging degr those of the actual one. Figure 3 presents the basic properties of the artificial RAP bin aged at different PAV exposure times. As can be seen, the penetration and ductility (15 reduced, and the softening point and apparent viscosity rose with the increasing expo time, indicating that the artificial RAP binder became increasingly stiffer. The artificial binder aged for 10 h, PAV-10, exhibited very similar basic properties to those of the a RAP binder; thus, the RAP-10 binder was used as an alternative to the actual RAP bind this study.

Determination of Rejuvenating Agent Content
To recycle the RAP binder, the rejuvenating agent content needs to be appropria determined. In this study, the basic properties of the binders, including the penetration tening point, ductility, and apparent viscosity, were used to this end, as shown in Figu It should be mentioned that since the ductility values of all the binders were larger than cm at 15 °C, the ductility tests were conducted at 5 °C to more clearly reveal the effect o rejuvenating agent content herein. It can be observed that as the rejuvenating agent con increased, the recycled binder became softer significantly. At the content of 6%, the pro ties of the recycled binder were found most close to those of the original #90 binder; th fore, the rejuvenating agent dosage of 6% by weight of the RAP binder was employed in present study.

Determination of Rejuvenating Agent Content
To recycle the RAP binder, the rejuvenating agent content needs to be appropriately determined. In this study, the basic properties of the binders, including the penetration, softening point, ductility, and apparent viscosity, were used to this end, as shown in Figure 4. It should be mentioned that since the ductility values of all the binders were larger than 100 cm at 15 • C, the ductility tests were conducted at 5 • C to more clearly reveal the effect of the rejuvenating agent content herein. It can be observed that as the rejuvenating agent content increased, the recycled binder became softer significantly. At the content of 6%, the properties of the recycled binder were found most close to those of the original #90 binder; therefore, the rejuvenating agent dosage of 6% by weight of the RAP binder was employed in the present study.   Figure 5 shows the apparent viscosity test results of the warm-mix recycled binders at different RAP binder contents and testing temperatures. As observed, the apparent viscosity values of all three types of recycled binders (i.e., Z, S + Z, and E + Z) increased linearly with the RAP binder content. This indicates that although a relatively accurate rejuvenating agent dosage by weight of the RAP binder (6%) was used, it was still difficult to completely offset the aging effect, especially for higher RAP binder contents. It can be seen from Table 3 that the S + Z binders exhibited the highest percentage increase of apparent viscosity, e.g., 71.2% and 81.5%, respectively, at 115 °C and 175 °C for the RAP binder content of 70%, whereas the E + Z binders presented the lowest percentage increase of apparent viscosity, e.g., only 35.3% and 60.3%, respectively, at 115 °C and 175 °C for the RAP binder content of 70%. This indicates that the WMA additive S can raise the RAP binder content susceptibility of apparent viscosity while E has the opposite effect.   Figure 5 shows the apparent viscosity test results of the warm-mix recycled binders at different RAP binder contents and testing temperatures. As observed, the apparent viscosity values of all three types of recycled binders (i.e., Z, S + Z, and E + Z) increased linearly with the RAP binder content. This indicates that although a relatively accurate rejuvenating agent dosage by weight of the RAP binder (6%) was used, it was still difficult to completely offset the aging effect, especially for higher RAP binder contents.

Analysis of Apparent Viscosity Test Results
The correct ones should be：    It can be seen from Table 3 that the S + Z binders exhibited the highest percentage increase of apparent viscosity, e.g., 71.2% and 81.5%, respectively, at 115 • C and 175 • C for the RAP binder content of 70%, whereas the E + Z binders presented the lowest percentage increase of apparent viscosity, e.g., only 35.3% and 60.3%, respectively, at 115 • C and 175 • C for the RAP binder content of 70%. This indicates that the WMA additive S can raise the RAP binder content susceptibility of apparent viscosity while E has the opposite effect. Moreover, Figure 5 shows that at the four different temperatures, the viscosity values of the S + Z binders were lower than those of the E + Z and Z binders, and as the temperature decreased, the viscosity differences between the S + Z binders and the other two types of binders became more remarkable. This indicates that the WMA additive S plays a critical role in reducing the binder viscosity. Thus, it allows a higher RAP binder content. On the other hand, the viscosity values of the E + Z and Z binders were very close to each other, and this indicates that the WMA additive E has little influence on the binder viscosity. Clearly, the WMA additive E operates by a mechanism different from that of S. Actually, as a surfactant, E affects the chemical bonding between binder and aggregate rather than the binder viscosity. Table 4 shows that the addition of S could decrease the apparent viscosity by up to 35.0% and 12.1%, whereas the use of E could only decrease the apparent viscosity by up to 0.7% and 5.2%, respectively, at the temperatures of 115 • C and 175 • C. Table 4. Percentage increase in apparent viscosity caused by the WMA additive.

Analysis of High-Temperature Performance Test Results
Typically, a higher |G*|/sinδ value represents a superior rutting resistance. Figure 6 presents the rutting parameter test results of the warm-mix recycled binders at different RAP binder contents under the unaged condition. As can be seen, the rutting parameter values exhibited linear increasing trends with the RAP binder content on the logarithmic scale regardless of WMA additives used, indicating an improvement in rutting performance. It is seen that the difference of |G*|/sinδ between the binders with and without the RAP binder increased considerably with the rising RAP binder content. Thus, accurately controlling the rejuvenating agent content is critical to guaranteeing the performance of recycled asphalt mixtures with high RAP contents. Table 5 shows that S could better alleviate the increase in |G*|/sinδ with the RAP binder content than E under the unaged condition. For instance, at the RAP binder content of 70% and 70 • C, the percentage increase of |G*|/sinδ for the S + Z binder was 56.2% while that for the E + Z binder was 67.5%, both of which were less than 72.3% for the Z binder.  Table 5 shows that S could better alleviate the increase in |G*|/sinδ with the RAP binder content than E under the unaged condition. For instance, at the RAP binder content of 70% and 70 °C , the percentage increase of |G*|/sinδ for the S + Z binder was 56.2% while that for the E + Z binder was 67.5%, both of which were less than 72.3% for the Z binder. Besides, Figure 6 presents that at any given RAP content and temperature, the S + Z binders displayed the best performance, followed by the E + Z binders, and the Z binders ranked the lowest. Although both WMA additives contributed to the increasing |G*|/sinδ, S performed significantly better than E. This may be because wax crystallization in the additive S reinforces the permanent deformation resistance of asphalt binders at elevated temperatures that are lower than the melting point of S (about 100 °C ). Table 6 shows that the inclusion of S could increase |G*|/sinδ by up to 399.5% and 340.8%, but the use of E could only increase |G*|/sinδ by up to 20.6% and 23.0%, respectively, at the temperatures of 46 °C and 70 °C under the unaged condition.   Besides, Figure 6 presents that at any given RAP content and temperature, the S + Z binders displayed the best performance, followed by the E + Z binders, and the Z binders ranked the lowest. Although both WMA additives contributed to the increasing |G*|/sinδ, S performed significantly better than E. This may be because wax crystallization in the additive S reinforces the permanent deformation resistance of asphalt binders at elevated temperatures that are lower than the melting point of S (about 100 • C). Table 6 shows that the inclusion of S could increase |G*|/sinδ by up to 399.5% and 340.8%, but the use of E could only increase |G*|/sinδ by up to 20.6% and 23.0%, respectively, at the temperatures of 46 • C and 70 • C under the unaged condition. According to the Superpave PG specification ASTM D6373 [33], unaged binders should satisfy the requirement that |G*|/sinδ values are larger than 1 kPa. It can be observed from Figure 7 that the rutting parameter test results of the warm-mix recycled binders under the unaged condition were all greater than 1 kPa at testing temperatures below 64 • C; however, when the temperature rose to 70 • C, only the S + Z binders met the requirement, implying a more desirable rutting resistance for the S + Z binders than the E + Z and Z ones.
The role of E in enhancing rutting performance was found to be quite slight at different temperatures, and this can be ascribed to its nature as a chemical surfactant. satisfy the requirement that |G*|/sinδ values are larger than 1 kPa. It can be o Figure 7 that the rutting parameter test results of the warm-mix recycled bind unaged condition were all greater than 1 kPa at testing temperatures below 64 when the temperature rose to 70 °C, only the S + Z binders met the requireme more desirable rutting resistance for the S + Z binders than the E + Z and Z on E in enhancing rutting performance was found to be quite slight at different and this can be ascribed to its nature as a chemical surfactant.     Figures 8 and 9 give the rutting parameter test results of the warm-mix recycled binders at different RAP binder contents and testing temperatures under the short-term RTFO aged condition. In this case, the |G*|/sinδ values should be larger than 2.2 kPa. It is evident that similar observations to those under the unaged condition can be made for all the recycled binders under the short-term aged condition.
unaged condition were all greater than 1 kPa at testing temperatures below 64 when the temperature rose to 70 °C, only the S + Z binders met the requireme more desirable rutting resistance for the S + Z binders than the E + Z and Z on E in enhancing rutting performance was found to be quite slight at different and this can be ascribed to its nature as a chemical surfactant.  Figures 8 and 9 give the rutting parameter test results of the warm-mix ers at different RAP binder contents and testing temperatures under the sho aged condition. In this case, the |G*|/sinδ values should be larger than 2.2 dent that similar observations to those under the unaged condition can be m recycled binders under the short-term aged condition.  Table 7 shows that S could alleviate the increase in |G*|/sinδ with th content, but E intensified this percentage increase under the short-term ag This observation was different from that obtained under the unaged condit 2.2 kPa2 Figure 9. Rutting parameter test results of the warm-mix recycled binders at different testing temperatures under the short-term aged condition. Table 7 shows that S could alleviate the increase in |G*|/sinδ with the RAP binder content, but E intensified this percentage increase under the short-term aged condition. This observation was different from that obtained under the unaged condition.  Table 8 indicates that the inclusion of S could increase |G*|/sinδ by up to 411.3% and 335.3%, but the use of E could only increase |G*|/sinδ by up to 29.9% and 26.0%, respectively, at the temperatures of 46 • C and 70 • C under the short-term aged condition.

Analysis of Intermediate-Temperature Performance Test Results
Generally, a higher fatigue parameter |G*|·sinδ represents an inferior fatigue performance. Figure 10 displays the fatigue parameter test results of the warm-mix recycled binders at different RAP binder contents under the long-term aged condition. As the RAP binder content increased, the |G*|·sinδ values for all the binders increased linearly, suggesting that the RAP binder has an adverse impact on the fatigue resistance. Moreover, it is noticed that the rejuvenating agent was unable to entirely compensate for the negative effect of the aged binder despite a relatively accurate determination of the rejuvenating agent dosage. In addition, both the WMA additives S and E lowered the |G*|·sinδ values, which indicates that both S and E are capable of improving the fatigue performance of the recycled binders. Specifically, E performed better than S in this aspect. aterials 2023, 16, x FOR PEER REVIEW effect of the aged binder despite a relatively accurate determination of the agent dosage. In addition, both the WMA additives S and E lowered the |G which indicates that both S and E are capable of improving the fatigue perfo recycled binders. Specifically, E performed better than S in this aspect.  Table 9 shows that both S and E could promote the increase in |G*| RAP binder content, and the two WMA additives seemed to exhibit a com Table 10 indicates that the addition of S could reduce |G*|·sinδ by up to 22.1 and the use of E could even reduce |G*|·sinδ by up to 39.3% and 42.3%, re the temperatures of 13 °C and 22 °C under the long-term aged condition.   Table 9 shows that both S and E could promote the increase in |G*|·sinδ with the RAP binder content, and the two WMA additives seemed to exhibit a comparable effect. Table 10 indicates that the addition of S could reduce |G*|·sinδ by up to 22.1%, and 12.1% and the use of E could even reduce |G*|·sinδ by up to 39.3% and 42.3%, respectively, at the temperatures of 13 • C and 22 • C under the long-term aged condition.  In accordance with the Superpave PG specification ASTM D6373 [33], long-term aged binders should meet the requirement that the |G*|·sinδ values must be less than 5000 kPa. Figure 11 gives the |G*|·sinδ test results of the binders at different testing temperatures. At temperatures above 22 • C, the |G*|·sinδ values of all the binders could satisfy the criterion. At 19 • C, only the Z binders with the RAP content of 70% (Z + 70%) did not meet the requirement, whereas, at 16 • C, only the E + Z binders were desirable. When the temperature dropped below 13 • C, all the test results exceeded the limiting value (5000 kPa). It can be observed from the slopes of the fitted lines that in terms of fatigue resistance, the addition of E slightly elevated the temperature susceptibility of the recycled binders, but the inclusion of S had a very limited effect on the temperature susceptibility.

Analysis of Low-Temperature Performance Test Results
In general, the binder with a lower stiffness modulus S a and a higher m-value has a more satisfactory low-temperature thermal cracking resistance. Figure 12 presents the creep stiffness and m-value test results of the warm-mix recycled binders at different RAP binder contents and testing temperatures. As can be seen, compared to the stiffness moduli at the RAP binder content of 0%, those at 30% to 70% were even lower at the three temperatures. This abnormal observation can actually be attributed to the addition of the rejuvenating agent Z, which has a softening effect on the aged binder. Additionally, with the growth of the RAP binder content, the m-values of the Z binders did not exhibit noticeable change, and this also demonstrates the effect of the rejuvenating agent. Table 11 shows no remarkable trends for the percentage increases of S a and m-value with the RAP binder content. more satisfactory low-temperature thermal cracking resistance. Figure 12 presents the creep stiffness and m-value test results of the warm-mix recycled binders at different RAP binder contents and testing temperatures. As can be seen, compared to the stiffness moduli at the RAP binder content of 0%, those at 30% to 70% were even lower at the three temperatures. This abnormal observation can actually be attributed to the addition of the rejuvenating agent Z, which has a softening effect on the aged binder. Additionally, with the growth of the RAP binder content, the m-values of the Z binders did not exhibit noticeable change, and this also demonstrates the effect of the rejuvenating agent. Table 11 shows no remarkable trends for the percentage increases of Sa and m-value with the RAP binder content.    Further, Figure 12 shows that regardless of the RAP percentage, the stiffness modulus values of the S + Z binders were all higher than those of the Z and E + Z binders, and the m-values of the S + Z binders were mostly lower than those of the other two types of binders. This implies that the use of S has a negative impact on the thermal cracking resistance. For the E + Z and Z binders, both stiffness moduli and m-values were very close to each other; thus, E has a very mild influence on the low-temperature rheological properties of the recycled binders. Table 12 presents that the addition of S could increase the S a by up to 29.3%, 19.6%, and 70.2% and reduce the m-values by up to 12.4%, 16.2%, and 34.1%, respectively, at the temperatures of −24 • C, −18 • C, and −12 • C under the long-term aged condition.  In terms of the Superpave PG specification ASTM D6373 [33], the stiffness moduli of the long-term aged binders should be less than 300 MPa, but the m-values should be greater than 0.3. Obviously, at −12 • C, the stiffness moduli and m-values of all the binders were acceptable, but at −24 • C, were ineligible. At −18 • C, due to the limitation of the m-value, the Z + S binders at all the RAP binder contents and the Z binders at the RAP binder content of 30% were undesirable for thermal cracking resistance.

Analysis of Continuous Grading Temperatures and PG Grades
In terms of the specification ASTM D7643 [34], the continuous grading temperatures of asphalt binder can be calculated by interpolating between test data measured at two adjacent specification temperatures so that high-, intermediate-and low-temperature grades can be more accurately evaluated. Figure 13 displays the resulting high-temperature continuous grading temperatures of the binders at different RAP binder contents. It is seen that as the RAP binder percentage rose, the continuous grading temperatures merely increased moderately (by about 4 • C from 0% to 70%) for both the original and RTFO-aged binders. This is because the addition of the rejuvenating agent (6% by weight of the RAP binder) alleviated the hardening effect of the aged binder to a certain extent. Compared to the continuous grading temperatures of the Z binders, the results for the S + Z binders increased by more than two high-temperature grades (12 • C), while the results for the E + Z binders solely increased slightly. This demonstrates the advantage of S over E in enhancing the rutting resistance.   Figure 14 gives the intermediate-temperature continuous grading temperatures of the warm-mix recycled binders at different RAP binder contents. The continuous grading temperatures of the three types of binders presented linear trends with the RAP binder content. The addition of E led to the greatest reduction of the continuous grading temperatures (more than a grade for fatigue performance, 3 • C), followed by the use of S.  Figure 15 shows the low-temperature continuous grading temperatures determined using the stiffness modulus Sa and m-value, respectively. The final low-temperature grade is dependent on the upper of the two continuous grading temperatures from Sa and the mvalue. Evidently, the inclusion of S considerably elevated the continuous grades, thus having a negative impact on the thermal cracking resistance. Unlike the WMA additive S, E almost did not change the low-temperature continuous grading temperatures of the Z binders.  Table 13 shows the resulting PG grades of all the warm-mix recycled binders according to the specification ASTM D6373 [33]. As can be seen, when subjected to short-term aging, the high-temperature grades of both the E + Z and Z binders declined by one grade (6 °C ), whereas the S + Z binders mostly maintained the original grades, which implies the role of the WMA additive S in aging resistance. Additionally, the S + Z binders possessed wider ranges of pavement service temperature (wider by about two PG grades, 12 °C ) than those of the other two types of binders though S lowered the low-temperature performance of the binders. In this regard, the use of E almost did not change the PG grades of the binders.  Figure 15 shows the low-temperature continuous grading temperatures determined using the stiffness modulus S a and m-value, respectively. The final low-temperature grade is dependent on the upper of the two continuous grading temperatures from S a and the m-value. Evidently, the inclusion of S considerably elevated the continuous grades, thus having a negative impact on the thermal cracking resistance. Unlike the WMA additive S, E almost did not change the low-temperature continuous grading temperatures of the Z binders. Figure 14. Intermediate-temperature continuous grading temperatures of the warm-mix recycled binders at different RAP binder contents. Figure 15 shows the low-temperature continuous grading temperatures determined using the stiffness modulus Sa and m-value, respectively. The final low-temperature grade is dependent on the upper of the two continuous grading temperatures from Sa and the mvalue. Evidently, the inclusion of S considerably elevated the continuous grades, thus having a negative impact on the thermal cracking resistance. Unlike the WMA additive S, E almost did not change the low-temperature continuous grading temperatures of the Z binders.  Table 13 shows the resulting PG grades of all the warm-mix recycled binders according to the specification ASTM D6373 [33]. As can be seen, when subjected to short-term aging, the high-temperature grades of both the E + Z and Z binders declined by one grade (6 °C ), whereas the S + Z binders mostly maintained the original grades, which implies the role of the WMA additive S in aging resistance. Additionally, the S + Z binders possessed wider ranges of pavement service temperature (wider by about two PG grades, 12 °C ) than those of the other two types of binders though S lowered the low-temperature performance of the binders. In this regard, the use of E almost did not change the PG grades of the binders.  Table 13 shows the resulting PG grades of all the warm-mix recycled binders according to the specification ASTM D6373 [33]. As can be seen, when subjected to short-term aging, the high-temperature grades of both the E + Z and Z binders declined by one grade (6 • C), whereas the S + Z binders mostly maintained the original grades, which implies the role of the WMA additive S in aging resistance. Additionally, the S + Z binders possessed wider ranges of pavement service temperature (wider by about two PG grades, 12 • C) than those of the other two types of binders though S lowered the low-temperature performance of the binders. In this regard, the use of E almost did not change the PG grades of the binders.

Analysis of Linear Viscoelastic Master Curves
In this study, the reference temperature T r was selected as 28 • C for the construction of the master curves for the binders. Figure 16 presents the calculated master curves of dynamic modulus and phase angle for the three types of binders. As observed, the 2S2P1D model well simulated the dynamic modulus master curves for all the binders. For the Z and E + Z binders, the phase angle master curves of the 2S2P1D model were also in good agreement with the test data. However, due to the addition of S, the phase angle test data of the S + Z binders obtained at different test temperatures were incapable of forming single curves by horizontal shift, which led to the failure of the time-temperature superposition principle and unsatisfactory fitting of the 2S2P1D model. This may be because the WMA additive S is a thermorheologically complex material in essence. Table 14 summarizes the resulting parameters of the 2S2P1D model and fitting errors.  Figure 17 gives the master curves of dynamic modulus and phase angle for the actual RAP binder and the PAV-10 binder. As can be seen, the master curves of the two aged binders were very close to each other. This indicates that their linear viscoelastic properties were very similar, and the use of the PAV-10 binder as an alternative to the actual RAP binder was rational and effective. agreement with the test data. However, due to the addition of S, the phase angle test data of the S + Z binders obtained at different test temperatures were incapable of forming single curves by horizontal shift, which led to the failure of the time-temperature superposition principle and unsatisfactory fitting of the 2S2P1D model. This may be because the WMA additive S is a thermorheologically complex material in essence. Table 14 summarizes the resulting parameters of the 2S2P1D model and fitting errors.        Figure 17 gives the master curves of dynamic modulus and phase angle RAP binder and the PAV-10 binder. As can be seen, the master curves of binders were very close to each other. This indicates that their linear viscoe ties were very similar, and the use of the PAV-10 binder as an alternative RAP binder was rational and effective. It can be seen from Figure 18 that both the master curves of dynamic phase angle at different RAP binder contents were very close for the Z bind ther verifies the recycling effect of the rejuvenating agent. Even so, there st ferences between the master curves, in particular when the percentage of th became high. This also indicates that it is difficult for the rejuvenating agent balance the negative impact of the aged binder.   It can be seen from Figure 18 that both the master curves of dynamic modulus and phase angle at different RAP binder contents were very close for the Z binders. This further verifies the recycling effect of the rejuvenating agent. Even so, there still existed differences between the master curves, in particular when the percentage of the RAP binder became high. This also indicates that it is difficult for the rejuvenating agent to completely balance the negative impact of the aged binder.
ties were very similar, and the use of the PAV-10 binder as an alternative RAP binder was rational and effective. It can be seen from Figure 18 that both the master curves of dynamic phase angle at different RAP binder contents were very close for the Z bin ther verifies the recycling effect of the rejuvenating agent. Even so, there st ferences between the master curves, in particular when the percentage of th became high. This also indicates that it is difficult for the rejuvenating agent balance the negative impact of the aged binder.    Figure 19 shows the master curves of dynamic modulus and phase warm-mix recycled binders at the RAP binder content of 70%. It can be see clusion of S considerably improved the dynamic modulus and lowered the p the binders over a wide range of frequencies and temperatures, indicating ment effect on the stiffness and the enhancement effect on the elasticity. M difference between the master curves of the S + Z binder and the other two bi more pronounced at lower frequencies. Unlike the additive S, E had a very sl on the master curves of dynamic modulus and phase angle of the recycled RAP binder content of 70%. Similar observations can be attained for the b other RAP binder contents, 0%, 30%, and 50%. 15 Figure 19 shows the master curves of dynamic modulus and phase angle of the warmmix recycled binders at the RAP binder content of 70%. It can be seen that the inclusion of S considerably improved the dynamic modulus and lowered the phase angle of the binders over a wide range of frequencies and temperatures, indicating the reinforcement effect on the stiffness and the enhancement effect on the elasticity. Moreover, the difference between the master curves of the S + Z binder and the other two binders became more pronounced at lower frequencies. Unlike the additive S, E had a very slight influence on the master curves of dynamic modulus and phase angle of the recycled binder at the RAP binder content of 70%. Similar observations can be attained for the binders at the other RAP binder contents, 0%, 30%, and 50%.  Figure 19 shows the master curves of dynamic modulus and phase angle of the warm-mix recycled binders at the RAP binder content of 70%. It can be seen that the inclusion of S considerably improved the dynamic modulus and lowered the phase angle of the binders over a wide range of frequencies and temperatures, indicating the reinforcement effect on the stiffness and the enhancement effect on the elasticity. Moreover, the difference between the master curves of the S + Z binder and the other two binders became more pronounced at lower frequencies. Unlike the additive S, E had a very slight influence on the master curves of dynamic modulus and phase angle of the recycled binder at the RAP binder content of 70%. Similar observations can be attained for the binders at the other RAP binder contents, 0%, 30%, and 50%.
(a) 15 Figure 19. Master curves of dynamic modulus and phase angle of the warm-mix recycled binders at the RAP binder content of 70%.

Conclusions
The present study investigated the rheological behavior of warm-mix recycled asphalt binders with high percentages of RAP binder. The combined impacts of two WMA additives (wax-based S and surfactant-based E), a rejuvenating aging (Z), four RAP binder contents (0~70%), and three aging states (unaged, short-term aged, and long-term aged) were assessed in detail using various rheological and performance tests over the entire range of service temperatures. On the basis of the results and analyses, the following conclusions can be drawn: 1. In terms of the conventional performance tests and the apparent viscosity test, the artificial RAP binder that was obtained by subjecting the virgin binder to successive RTFO aging and PAV aging with a specific exposure duration could achieve similar performance and aging degree to those of the actual one; 2. The rejuvenating agent Z could effectively alleviate the aging effect of the RAP binder; however, it was still difficult to completely eliminate this negative impact, in particular at higher RAP binder contents, despite a relatively accurate rejuvenating agent dosage by weight of the RAP binder (6%) used; 3. The addition of S remarkably lowered the apparent viscosity of the warm-mix recycled binders (by up to 35.0%), and with the decreasing temperature, this effect of viscosity reduction became more significant (within the range of 115 °C to 175 °C ); however, the WMA additive E had little influence (with the reduction of only up to 5.2% in apparent viscosity) on the binder viscosity due to its surfactant nature; 4. Under both unaged and RTFO short-term aged conditions, the WMA additive S could considerably enhance the rutting performance (respectively with the increases of up to 399.5% and 411.3% in |G*|/sinδ) due to the wax crystallization in S, whereas E only enhanced the rutting resistance very slightly (respectively with the increases of up to 23.0% and 29.9% in |G*|/sinδ); 5. Both S and E were capable of improving the fatigue performance of the recycled binders, but E performed better than S in this aspect (respectively with the reductions of up to 42.3% and 22.1% in|G*|·sinδ); 6. The use of S had an adverse impact on the thermal cracking resistance (with an increase of up to 70.2% in Sa and a decrease of up to 34.1% in m-value between −24 °C and −12 °C ), but the inclusion of E had a very mild influence on the low-temperature performance of the recycled binders;

Conclusions
The present study investigated the rheological behavior of warm-mix recycled asphalt binders with high percentages of RAP binder. The combined impacts of two WMA additives (wax-based S and surfactant-based E), a rejuvenating aging (Z), four RAP binder contents (0~70%), and three aging states (unaged, short-term aged, and long-term aged) were assessed in detail using various rheological and performance tests over the entire range of service temperatures. On the basis of the results and analyses, the following conclusions can be drawn:

1.
In terms of the conventional performance tests and the apparent viscosity test, the artificial RAP binder that was obtained by subjecting the virgin binder to successive RTFO aging and PAV aging with a specific exposure duration could achieve similar performance and aging degree to those of the actual one; 2.
The rejuvenating agent Z could effectively alleviate the aging effect of the RAP binder; however, it was still difficult to completely eliminate this negative impact, in particular at higher RAP binder contents, despite a relatively accurate rejuvenating agent dosage by weight of the RAP binder (6%) used; 3.
The addition of S remarkably lowered the apparent viscosity of the warm-mix recycled binders (by up to 35.0%), and with the decreasing temperature, this effect of viscosity reduction became more significant (within the range of 115 • C to 175 • C); however, the WMA additive E had little influence (with the reduction of only up to 5.2% in apparent viscosity) on the binder viscosity due to its surfactant nature; 4.
Under both unaged and RTFO short-term aged conditions, the WMA additive S could considerably enhance the rutting performance (respectively with the increases of up to 399.5% and 411.3% in |G*|/sinδ) due to the wax crystallization in S, whereas E only enhanced the rutting resistance very slightly (respectively with the increases of up to 23.0% and 29.9% in |G*|/sinδ); 5.
Both S and E were capable of improving the fatigue performance of the recycled binders, but E performed better than S in this aspect (respectively with the reductions of up to 42.3% and 22.1% in|G*|·sinδ); 6.
The use of S had an adverse impact on the thermal cracking resistance (with an increase of up to 70.2% in S a and a decrease of up to 34.1% in m-value between −24 • C and −12 • C), but the inclusion of E had a very mild influence on the low-temperature performance of the recycled binders; 7.
The addition of S broadened the ranges of pavement service temperature by about two PG grades, 12 • C though S lowered the low-temperature performance of the binders (about one PG grade, 6 • C), whereas the use of E almost did not change the PG grades of the binders. Moreover, S could enhance the short-term aging resistance of the binders; 8.
The inclusion of S considerably improved the dynamic modulus and lowered the phase angle of the binders over a wide range of frequencies and temperatures, indicating the reinforcement effect on the stiffness and the enhancement effect on the elasticity, but E had a very slight influence on the two master curves of the warm-mix recycled binders; 9.
Due to the thermorheologically complex nature of S, the phase angle test data of the S + Z binders measured at different temperatures were incapable of forming single curves by horizontal shift, which led to the failure of the time-temperature superposition principle and unsatisfactory fitting of the 2S2P1D model.
This study served as a preliminary investigation of the rheological behavior of warmmix recycled asphalt binders with high percentages of RAP binder. Additional research efforts are needed to evaluate the effects of other WMA techniques, like the foaming-based technology and other RAP sources. Besides, the relationships between the performance of the warm-mix recycled asphalt binders with high contents of RAP binder and the corresponding WMA-high RAP asphalt mixtures are recommended to develop. More advanced rheological tests, like the MSCR and LAS tests, are needed for the rheological evaluation of the materials in future studies.